Fox Broadcasting Co. has scheduled “South Central,” a half-hour series featuring a black family in South Central Los Angeles, to lead off its Tuesday lineup beginning April 5.The previous occupant, Disney’s “Monty,” has been canceled and had its last airing Feb. 15. Specials and stunts will fill the slot until “South Central” joins the schedule. After a promising premiere, the Henry Winkler vehicle finished with a 5.7 rating/9 share average in Nielsen, steadily dropping with each of its six airings. In a separate announcement, CBS has scheduled the new Barney Rosenzweig drama “Christy” for Thursdays at 8 p.m. — a spot occupied by the reality series “How’d They Do That?”– beginning April 7. “Christy,” which stars Kellie Martin, Tyne Daly and Tess Harper, will be introduced with a two-hour premiere April 3 in the web’s Sunday movie slot. ABC has already scheduled another new drama, Steven Bochco’s “Byrds of Paradise,” for the same time period beginning March 3. Rosenzweig and Ken Wales are exec producers on “Christy,” which is produced in association with MTM Enterprises. Like “Monty,” which was originally on the drawing board at NBC, “South Central” came to Fox after starting life at another network, having been developed and ultimately passed on at CBS. The show has been the subject of much discussion even in the development stage because of the Los Angeles riots and the fact that the series — characterized as a “dramedy”– deals with a single mother of three, played by Tina Lifford, trying to keep her family afloat.